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Decimal to Fraction Converter

Convert terminating and repeating decimals into reduced fractions and mixed numbers.

Decimal to Fraction Converter Result
0.00
Step-by-Step Breakdown:

Enter values and click Calculate.

Mathematical Formula & Method

Decimal to Fraction Converter Formula
Fraction = (Decimal × 10ⁿ) / 10ⁿ, then simplify by GCD

Worked Examples & Step-by-Step Solutions

Convert 0.625 to fraction
  1. Count decimal places (3 places): 625 / 1000.
  2. Find GCD(625, 1000) = 125.
  3. Divide: 625/125 / 1000/125 = 5/8.

How to Use the Decimal to Fraction Converter

  1. Enter any decimal number (e.g. 0.75, 2.375) and click Calculate.

Important Assumptions & Unit Conventions

  • Irrational numbers (like π or √2) cannot be represented as exact fractions.

Frequently Asked Questions

What is 0.625 as a fraction?

0.625 equals 5/8.

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